Search a number
-
+
14132132 = 2275389107
BaseRepresentation
bin110101111010…
…001110100100
3222120222122022
4311322032210
512104212012
61222522312
7231056360
oct65721644
928528568
1014132132
117a82753
124896398
132c0a611
141c3c2a0
151392472
hexd7a3a4

14132132 has 48 divisors (see below), whose sum is σ = 29393280. Its totient is φ = 5820672.

The previous prime is 14132089. The next prime is 14132137. The reversal of 14132132 is 23123141.

It is a self number, because there is not a number n which added to its sum of digits gives 14132132.

It is not an unprimeable number, because it can be changed into a prime (14132137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132023 + ... + 132129.

It is an arithmetic number, because the mean of its divisors is an integer number (612360).

Almost surely, 214132132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14132132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14696640).

14132132 is an abundant number, since it is smaller than the sum of its proper divisors (15261148).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14132132 is a wasteful number, since it uses less digits than its factorization.

14132132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 258 counting only the distinct ones).

The product of its digits is 144, while the sum is 17.

The square root of 14132132 is about 3759.2728020190. The cubic root of 14132132 is about 241.7700842091.

Adding to 14132132 its reverse (23123141), we get a palindrome (37255273).

The spelling of 14132132 in words is "fourteen million, one hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 53 89 106 107 178 212 214 356 371 428 623 742 749 1246 1484 1498 2492 2996 4717 5671 9434 9523 11342 18868 19046 22684 33019 38092 39697 66038 66661 79394 132076 133322 158788 266644 504719 1009438 2018876 3533033 7066066 14132132